Given the differential equation y" - 4 y' 8 Using Reduction of Order and the letter "R" to this differential equation reduces to R' - 4R = 8 Use 1st Order Differential Equations Method to find the General Solution of R. A R B R = -2 + C, eAN R = 4x + C, R = 2 + C,e-* -4x D R = C,e c, e + C2 F 글 + Gon R =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 16E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Given the differential equation
y" - 4 y' = 8
Using Reduction of Order and the letter "R" to this differential equation reduces to
R' - 4R = 8
Use 1st Order Differential Equations Method to find the General Solution of R.
A
+ C, e8
&r
R =
4x
B
R = -2 + C, et*
R = 4x + C,
-4x
D
R = 2 + C,e
E
R = c,e + C,
F
+ C, e8*
R =
F.
Transcribed Image Text:Given the differential equation y" - 4 y' = 8 Using Reduction of Order and the letter "R" to this differential equation reduces to R' - 4R = 8 Use 1st Order Differential Equations Method to find the General Solution of R. A + C, e8 &r R = 4x B R = -2 + C, et* R = 4x + C, -4x D R = 2 + C,e E R = c,e + C, F + C, e8* R = F.
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